Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13661-014-0250-z.pdf
Reference19 articles.
1. Dafermos CM: Asymptotic stability in viscoelasticity. Arch. Ration. Mech. Anal. 1970, 37: 297-308.
2. Hrusa WJ: Global existence and asymptotic stability for a semilinear Volterra equation with large initial data. SIAM J. Math. Anal. 1985, 16(1):110-134. 10.1137/0516007
3. Muñoz Rivera JE: Asymptotic behavior in linear viscoelasticity. Q. Appl. Math. 1994, 52(4):628-648.
4. Messaoudi SA: Blow up and global existence in a nonlinear viscoelastic wave equation. Math. Nachr. 2003, 260: 58-66. 10.1002/mana.200310104
5. Messaoudi SA: Blow up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation. J. Math. Anal. Appl. 2006, 320: 902-915. 10.1016/j.jmaa.2005.07.022
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